EM-3139

Position vectors

E Math · Secondary 4 · Hard · Position vectors

In a vector diagram,

\overrightarrow{OA} = \mathbf{p}

and

\overrightarrow{OB} = \mathbf{q}

. Point M is the midpoint of AB. Express

\overrightarrow{OM}

in terms of

\mathbf{p}

and

\mathbf{q}

.

$\dfrac{1}{2}(\mathbf{p} + \mathbf{q})$
$\dfrac{1}{2}(\mathbf{q} - \mathbf{p})$
$\mathbf{q} - \mathbf{p}$
$\mathbf{p} + \mathbf{q}$

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